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Finding the Third Proportional to 79.84 and 128.11

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Solution

The third proportional to 79.84 and 128.11 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.84 : 128.11 = 128.11 : x
  2. Step 2: Convert to fraction form
    79.84/128.11 = 128.11/x
  3. Step 3: Cross multiply
    79.84x = 128.11 × 128.11
  4. Step 4: Simplify right side
    79.84x = 16,412.01
  5. Step 5: Solve for x
    x = 16,412.01/79.84
  6. Step 6: Final answer
    x = 205.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.